Graci is a distinctive girls' name in United States, ranking #2433 in 2009 with 79 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 1,028.6%. In 2009, approximately 1 in every 23,252 girls born was named Graci. FALLING Recent data shows the name is currently falling.